Uniqueness of the AdS spacetime among static vacua with prescribed null infinity
نویسندگان
چکیده
We prove that an (n+ 1)-dimensional spin static vacuum with negative cosmological constant whose null infinity has a boundary admitting a non-trivial Killing spinor field is be the AdS spacetime. As a consequence, we generalize previous uniqueness results by X. Wang [Wa2] and by Chruściel-Herzlich [CH] and introduce, for this class of spin static vacua, some Lorentzian manifolds which are prohibited as null infinities. Mathematics Subject Classification. Differential Geometry, Global Analysis, 53C27, 53C40, 53C80, 58G25.
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تاریخ انتشار 2017